Influence of Large Amplitude on Response to Sonic Booms

Abstract

Theme ^CONSIDERABLE amount of literature exists on the \^inear dynamic response of discrete and continuous systems subjected to sonic booms.' In the present investigation the influence of large amplitude on the dynamic response of rectangular isotropic plate with special reference to glass panel subjected to sonic boom is studied for several boom parameters like overpressure, waveform duration, and rise time. The solution procedure adopted in the present investigation consists of expressing the governing nonlinear differential equations in the rate form, a method adopted by the authors earlier, and in the process these equations are reduced to a set of linear differential equations. These linear equations are solved approximately spacewise by Galerkin method and time-wise using the Houbolt scheme. The influence of nonlinearity is presented in the form of a ratio of maximum linear to maximum nonlinear dynamic response. It should be mentioned that the rate form linearization has a specific advantage that the resulting linear equations are themselves exact without any approximations, and it can be used equally well for both static and dynamic nonlinear problems. An investigation on nonlinear dynamic behavior of shells of revolution using a similar technique has recently appeared.